Sustainable multi-depot emergency facilities location-routing problem with uncertain information

Emergency facilities location and vehicle routing are two of the most challenging issues in emergency logistics. This paper presents an exploration of the sustainable multi-depot emergency facilities location-routing problem with uncertain information. An uncertain multi-objective location-routing programming model is constructed for emergency response with consideration of travel time, emergency relief costs and carbon dioxide emissions via uncertainty theory. By implementing the main-objective method, the uncertain multi-objective model can be rebuilt as an uncertain single-objective optimization model. The properties of the model are discussed in the framework of uncertainty theory. A hybrid intelligent algorithm that integrates uncertain simulation and a genetic algorithm is designed to solve the proposed model. Finally, numerical examples are presented to illustrate the optimization ideas and the robustness and effectiveness of the proposed algorithm.